<em>Your</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>above</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em>
Perfect square trinomial is like
(x+4)^2=x^2+8x+16
they are represented as such
ax^2+bx+c
so to solve for b you do
(√c) times 2=b so
c=9/4
square root=3/2 because 3/2 times 3/2=9/4
(√(9/4)) times 2=(3/2) times 2=6/2=3
so b=3
x^2+3x+(9/4)
if factored, it gives
(x+(3/2))(x+(3/2)) or
(x-(3/2))(x-(3/2))
if this equation is equal to 0 then x=-3/2 or 3/2
the value is 3
So 4 sections
6 options for first section
5 options for second (since one was used for first)
4 options
3 options
mutiply
6 times 5 times 4 times 3=360
answer is 360 ways